Mathematics · Group Theory

Let (G, o) be a group. Define a mapping f : G → G by f(x) = x-1 for all x ∈ G. Then f is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1bijective✓
2not well defined
3only surjective
4only injective

Correct answer

bijective

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Let (G, o) be a group. Define a mapping f : G → G by f(x) = x-1 for all x ∈ G. Then f is:

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Let (G, o) be a group. Define a mapping f : G → G by f(x) = x-1 for all x ∈ G. Then f is:

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